It could work, but I'd recommend something else. The proctors will sometimes ask you to move your camera closer or further away and your range might be limited with that clamp style.
I have the same webcam and this is the tripod I use. It's a bit cheaper, but it's really sturdy and I've never had an issue with it. https://www.amazon.com/Webcam-Extendable-Desktops-Compatible-Logitech/dp/B08ZDRHJ7S/ref=sr\_1\_11?keywords=webcam+stand&qid=1675603238&sr=8-11.